%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV065+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:20:44 PM UTC 2026
% Result : Theorem 0.36s 1.61s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_92)
% Comments :
%------------------------------------------------------------------------------
fof(matrix_symm_joseph_update,axiom,
! [X14,X18,X4,X20,X21,X22,X15,X19] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X20,X5,X11) = a_select3(X20,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X22,X5,X11) = a_select3(X22,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X5,X11) = a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_joseph_update) ).
fof(succ_plus_5_l,axiom,
! [X1] : plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_5_l) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_5_r,axiom,
! [X1] : plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_5_r) ).
fof(succ_plus_4_l,axiom,
! [X1] : plus(n4,X1) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_l) ).
fof(succ_plus_4_r,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_r) ).
fof(cl5_nebula_array_0006,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0006) ).
fof(leq_succ_succ,axiom,
! [X1,X2] :
( leq(succ(X1),succ(X2))
<=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_succ) ).
fof(succ_plus_3_l,axiom,
! [X1] : plus(n3,X1) = succ(succ(succ(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_l) ).
fof(succ_plus_3_r,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(leq_succ_gt_equiv,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
fof(leq_succ_gt,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(leq_succ,axiom,
! [X1,X2] :
( leq(X1,X2)
=> leq(X1,succ(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(gt_succ,axiom,
! [X1] : gt(succ(X1),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',gt_succ) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(succ_pred,axiom,
! [X1] : succ(pred(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(sel3_update_3,axiom,
! [X5,X11,X7,X24,X1,X17] :
( ( ! [X26,X27] :
( ( leq(n0,X26)
& leq(n0,X27)
& leq(X26,X7)
& leq(X27,X24) )
=> a_select3(X1,X26,X27) = X17 )
& leq(n0,X5)
& leq(X5,X7)
& leq(n0,X11)
& leq(X11,X24) )
=> a_select3(tptp_update3(X1,X7,X24,X17),X5,X11) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel3_update_3) ).
fof(matrix_symm_sub,axiom,
! [X14,X18,X15] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_msub(X14,X18),X5,X11) = a_select3(tptp_msub(X14,X18),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_sub) ).
fof(matrix_symm_add,axiom,
! [X14,X18,X15] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,X18),X5,X11) = a_select3(tptp_madd(X14,X18),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_add) ).
fof(matrix_symm_update_diagonal,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11,X16,X17] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15)
& leq(n0,X16)
& leq(X16,X15) )
=> a_select3(tptp_update3(X14,X16,X16,X17),X5,X11) = a_select3(tptp_update3(X14,X16,X16,X17),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_update_diagonal) ).
fof(matrix_symm_aba1,axiom,
! [X14,X18,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X5,X11) = a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_aba1) ).
fof(matrix_symm_aba2,axiom,
! [X14,X18,X15,X19] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X5,X11) = a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_aba2) ).
fof(sel2_update_3,axiom,
! [X5,X7,X1,X17] :
( ( ! [X26] :
( ( leq(n0,X26)
& leq(X26,X7) )
=> a_select2(X1,X26) = X17 )
& leq(n0,X5)
& leq(X5,X7) )
=> a_select2(tptp_update2(X1,X7,X17),X5) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_3) ).
fof(sel3_update_2,axiom,
! [X5,X11,X7,X24,X1,X17,X25] :
( ( X5 != X7
& X11 = X24
& a_select3(X1,X7,X24) = X17 )
=> a_select3(tptp_update3(X1,X5,X11,X25),X7,X24) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel3_update_2) ).
fof(sel3_update_1,axiom,
! [X1,X7,X24,X17] : a_select3(tptp_update3(X1,X7,X24,X17),X7,X24) = X17,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel3_update_1) ).
fof(matrix_symm_inv,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(inv(X14),X5,X11) = a_select3(inv(X14),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_inv) ).
fof(matrix_symm_trans,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(trans(X14),X5,X11) = a_select3(trans(X14),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_trans) ).
fof(const_array2_select,axiom,
! [X5,X9,X10,X11,X12,X13,X8] :
( ( leq(X9,X5)
& leq(X5,X10)
& leq(X12,X11)
& leq(X11,X13) )
=> a_select3(tptp_const_array2(dim(X9,X10),dim(X12,X13),X8),X5,X11) = X8 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',const_array2_select) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(sel2_update_2,axiom,
! [X5,X7,X1,X17,X25] :
( ( X5 != X7
& a_select2(X1,X7) = X17 )
=> a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
fof(const_array1_select,axiom,
! [X5,X6,X7,X8] :
( ( leq(X6,X5)
& leq(X5,X7) )
=> a_select2(tptp_const_array1(dim(X6,X7),X8),X5) = X8 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',const_array1_select) ).
fof(sel2_update_1,axiom,
! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(leq_minus,axiom,
! [X1,X2] :
( leq(minus(X1,X2),X1)
=> leq(n0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_minus) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(uniform_int_rand_ranges_hi,axiom,
! [X1,X4] :
( leq(n0,X1)
=> leq(uniform_int_rnd(X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',uniform_int_rand_ranges_hi) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(transitivity_gt,axiom,
! [X1,X2,X3] :
( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
fof(uniform_int_rand_ranges_lo,axiom,
! [X1,X4] :
( leq(n0,X1)
=> leq(n0,uniform_int_rnd(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',uniform_int_rand_ranges_lo) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(sum_plus_base_float,axiom,
! [X23] : tptp_float_0_0 = sum(n0,tptp_minus_1,X23),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sum_plus_base_float) ).
fof(finite_domain_5,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n5) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_5) ).
fof(finite_domain_4,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_4) ).
fof(finite_domain_3,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_3) ).
fof(finite_domain_2,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
fof(finite_domain_1,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_1) ).
fof(finite_domain_0,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n0) )
=> X1 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(leq_gt2,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(leq_geq,axiom,
! [X1,X2] :
( geq(X1,X2)
<=> leq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
fof(lt_gt,axiom,
! [X1,X2] :
( lt(X1,X2)
<=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',lt_gt) ).
fof(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(totality,axiom,
! [X1,X2] :
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',totality) ).
fof(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(gt_135300_5,axiom,
gt(n135300,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135300_5) ).
fof(gt_135300_4,axiom,
gt(n135300,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135300_4) ).
fof(gt_135300_3,axiom,
gt(n135300,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135300_3) ).
fof(gt_135300_2,axiom,
gt(n135300,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135300_2) ).
fof(gt_135300_1,axiom,
gt(n135300,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135300_1) ).
fof(gt_135300_tptp_minus_1,axiom,
gt(n135300,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135300_tptp_minus_1) ).
fof(gt_135300_0,axiom,
gt(n135300,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135300_0) ).
fof(gt_5_4,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(gt_5_3,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(gt_5_2,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(gt_5_1,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(gt_5_tptp_minus_1,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(gt_5_0,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(gt_4_3,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(gt_4_2,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(gt_4_1,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(gt_4_tptp_minus_1,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(gt_4_0,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(gt_3_2,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(gt_3_1,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(gt_3_tptp_minus_1,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(gt_3_0,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(gt_2_1,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(gt_2_tptp_minus_1,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(gt_2_0,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(gt_1_tptp_minus_1,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(gt_1_0,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(gt_0_tptp_minus_1,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(defuse,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',defuse) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(i_0_92,plain,
! [X20,X19,X15,X14] :
( epred1_4(X14,X15,X19,X20)
<=> ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X20,X5,X11) = a_select3(X20,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) ) ) ),
introduced(definition) ).
fof(i_0_93,axiom,
! [X14,X18,X4,X20,X21,X22,X15,X19] :
( ( epred1_4(X14,X15,X19,X20)
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X22,X5,X11) = a_select3(X22,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X5,X11) = a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X11,X5) ) ),
inference(apply_def,[status(thm)],[matrix_symm_joseph_update,c_0_92]) ).
fof(i_0_94,plain,
! [X20,X19,X15,X14] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X20,X5,X11) = a_select3(X20,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) ) )
=> epred1_4(X14,X15,X19,X20) ),
inference(split_equiv,[status(thm)],[i_0_92]) ).
fof(i_0_95,plain,
! [X312] : plus(n5,X312) = succ(succ(succ(succ(succ(X312))))),
inference(variable_rename,[status(thm)],[succ_plus_5_l]) ).
fof(i_0_96,plain,
! [X303] : plus(X303,n1) = succ(X303),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(i_0_97,plain,
! [X311] : plus(X311,n5) = succ(succ(succ(succ(succ(X311))))),
inference(variable_rename,[status(thm)],[succ_plus_5_r]) ).
fof(i_0_98,plain,
! [X310] : plus(n4,X310) = succ(succ(succ(succ(X310)))),
inference(variable_rename,[status(thm)],[succ_plus_4_l]) ).
fof(i_0_99,plain,
! [X309] : plus(X309,n4) = succ(succ(succ(succ(X309)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
fof(i_0_100,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_array_0006]) ).
fof(i_0_101,plain,
! [X316,X317] :
( ( ~ leq(succ(X316),succ(X317))
| leq(X316,X317) )
& ( ~ leq(X316,X317)
| leq(succ(X316),succ(X317)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_succ])]) ).
fof(i_0_102,plain,
! [X308] : plus(n3,X308) = succ(succ(succ(X308))),
inference(variable_rename,[status(thm)],[succ_plus_3_l]) ).
fof(i_0_103,plain,
! [X307] : plus(X307,n3) = succ(succ(succ(X307))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
fof(i_0_104,plain,
! [X219,X220] :
( ( ~ leq(X219,X220)
| gt(succ(X220),X219) )
& ( ~ gt(succ(X220),X219)
| leq(X219,X220) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])]) ).
fof(i_0_105,plain,
! [X318,X319] :
( ~ leq(succ(X318),X319)
| gt(X319,X318) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).
fof(i_0_106,plain,
! [X214,X215] :
( ( ~ leq(X214,pred(X215))
| gt(X215,X214) )
& ( ~ gt(X215,X214)
| leq(X214,pred(X215)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).
fof(i_0_107,plain,
! [X313] : minus(X313,n1) = pred(X313),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(i_0_108,plain,
! [X217,X218] :
( ~ leq(X217,X218)
| leq(X217,succ(X218)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).
fof(i_0_109,plain,
! [X306] : plus(n2,X306) = succ(succ(X306)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
fof(i_0_110,plain,
! [X305] : plus(X305,n2) = succ(succ(X305)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(i_0_111,plain,
! [X216] : gt(succ(X216),X216),
inference(variable_rename,[status(thm)],[gt_succ]) ).
fof(i_0_112,plain,
! [X314] : pred(succ(X314)) = X314,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(i_0_113,plain,
! [X315] : succ(pred(X315)) = X315,
inference(variable_rename,[status(thm)],[succ_pred]) ).
fof(i_0_114,plain,
! [X304] : plus(n1,X304) = succ(X304),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(i_0_115,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(i_0_116,plain,
! [X289,X290,X291,X292,X293,X294,X295,X296,X299,X300] :
( ( leq(n0,esk19_7(X289,X290,X291,X292,X293,X294,X295))
| ~ epred1_4(X289,X295,X296,X292)
| ~ leq(n0,X299)
| ~ leq(X299,X295)
| ~ leq(n0,X300)
| ~ leq(X300,X295)
| a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X299,X300) = a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X300,X299) )
& ( leq(esk19_7(X289,X290,X291,X292,X293,X294,X295),X295)
| ~ epred1_4(X289,X295,X296,X292)
| ~ leq(n0,X299)
| ~ leq(X299,X295)
| ~ leq(n0,X300)
| ~ leq(X300,X295)
| a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X299,X300) = a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X300,X299) )
& ( leq(n0,esk20_7(X289,X290,X291,X292,X293,X294,X295))
| ~ epred1_4(X289,X295,X296,X292)
| ~ leq(n0,X299)
| ~ leq(X299,X295)
| ~ leq(n0,X300)
| ~ leq(X300,X295)
| a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X299,X300) = a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X300,X299) )
& ( leq(esk20_7(X289,X290,X291,X292,X293,X294,X295),X295)
| ~ epred1_4(X289,X295,X296,X292)
| ~ leq(n0,X299)
| ~ leq(X299,X295)
| ~ leq(n0,X300)
| ~ leq(X300,X295)
| a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X299,X300) = a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X300,X299) )
& ( a_select3(X294,esk19_7(X289,X290,X291,X292,X293,X294,X295),esk20_7(X289,X290,X291,X292,X293,X294,X295)) != a_select3(X294,esk20_7(X289,X290,X291,X292,X293,X294,X295),esk19_7(X289,X290,X291,X292,X293,X294,X295))
| ~ epred1_4(X289,X295,X296,X292)
| ~ leq(n0,X299)
| ~ leq(X299,X295)
| ~ leq(n0,X300)
| ~ leq(X300,X295)
| a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X299,X300) = a_select3(tptp_madd(X289,tptp_mmul(X290,tptp_mmul(tptp_madd(tptp_mmul(X291,tptp_mmul(X292,trans(X291))),tptp_mmul(X293,tptp_mmul(X294,trans(X293)))),trans(X290)))),X300,X299) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_93])])])])])]) ).
fof(i_0_117,plain,
! [X333,X334,X335,X336,X337,X338] :
( ( leq(n0,esk21_6(X333,X334,X335,X336,X337,X338))
| ~ leq(n0,X333)
| ~ leq(X333,X335)
| ~ leq(n0,X334)
| ~ leq(X334,X336)
| a_select3(tptp_update3(X337,X335,X336,X338),X333,X334) = X338 )
& ( leq(n0,esk22_6(X333,X334,X335,X336,X337,X338))
| ~ leq(n0,X333)
| ~ leq(X333,X335)
| ~ leq(n0,X334)
| ~ leq(X334,X336)
| a_select3(tptp_update3(X337,X335,X336,X338),X333,X334) = X338 )
& ( leq(esk21_6(X333,X334,X335,X336,X337,X338),X335)
| ~ leq(n0,X333)
| ~ leq(X333,X335)
| ~ leq(n0,X334)
| ~ leq(X334,X336)
| a_select3(tptp_update3(X337,X335,X336,X338),X333,X334) = X338 )
& ( leq(esk22_6(X333,X334,X335,X336,X337,X338),X336)
| ~ leq(n0,X333)
| ~ leq(X333,X335)
| ~ leq(n0,X334)
| ~ leq(X334,X336)
| a_select3(tptp_update3(X337,X335,X336,X338),X333,X334) = X338 )
& ( a_select3(X337,esk21_6(X333,X334,X335,X336,X337,X338),esk22_6(X333,X334,X335,X336,X337,X338)) != X338
| ~ leq(n0,X333)
| ~ leq(X333,X335)
| ~ leq(n0,X334)
| ~ leq(X334,X336)
| a_select3(tptp_update3(X337,X335,X336,X338),X333,X334) = X338 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel3_update_3])])])]) ).
fof(i_0_118,plain,
! [X360,X361,X362,X363] :
( ( leq(n0,esk26_4(X360,X361,X362,X363))
| leq(n0,esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk26_4(X360,X361,X362,X363),X362)
| leq(n0,esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk27_4(X360,X361,X362,X363))
| leq(n0,esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk27_4(X360,X361,X362,X363),X362)
| leq(n0,esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( a_select3(X363,esk26_4(X360,X361,X362,X363),esk27_4(X360,X361,X362,X363)) != a_select3(X363,esk27_4(X360,X361,X362,X363),esk26_4(X360,X361,X362,X363))
| leq(n0,esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk26_4(X360,X361,X362,X363))
| leq(esk24_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk26_4(X360,X361,X362,X363),X362)
| leq(esk24_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk27_4(X360,X361,X362,X363))
| leq(esk24_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk27_4(X360,X361,X362,X363),X362)
| leq(esk24_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( a_select3(X363,esk26_4(X360,X361,X362,X363),esk27_4(X360,X361,X362,X363)) != a_select3(X363,esk27_4(X360,X361,X362,X363),esk26_4(X360,X361,X362,X363))
| leq(esk24_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk26_4(X360,X361,X362,X363))
| leq(n0,esk25_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk26_4(X360,X361,X362,X363),X362)
| leq(n0,esk25_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk27_4(X360,X361,X362,X363))
| leq(n0,esk25_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk27_4(X360,X361,X362,X363),X362)
| leq(n0,esk25_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( a_select3(X363,esk26_4(X360,X361,X362,X363),esk27_4(X360,X361,X362,X363)) != a_select3(X363,esk27_4(X360,X361,X362,X363),esk26_4(X360,X361,X362,X363))
| leq(n0,esk25_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk26_4(X360,X361,X362,X363))
| leq(esk25_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk26_4(X360,X361,X362,X363),X362)
| leq(esk25_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk27_4(X360,X361,X362,X363))
| leq(esk25_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk27_4(X360,X361,X362,X363),X362)
| leq(esk25_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( a_select3(X363,esk26_4(X360,X361,X362,X363),esk27_4(X360,X361,X362,X363)) != a_select3(X363,esk27_4(X360,X361,X362,X363),esk26_4(X360,X361,X362,X363))
| leq(esk25_4(X360,X361,X362,X363),X361)
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk26_4(X360,X361,X362,X363))
| a_select3(X360,esk24_4(X360,X361,X362,X363),esk25_4(X360,X361,X362,X363)) != a_select3(X360,esk25_4(X360,X361,X362,X363),esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk26_4(X360,X361,X362,X363),X362)
| a_select3(X360,esk24_4(X360,X361,X362,X363),esk25_4(X360,X361,X362,X363)) != a_select3(X360,esk25_4(X360,X361,X362,X363),esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(n0,esk27_4(X360,X361,X362,X363))
| a_select3(X360,esk24_4(X360,X361,X362,X363),esk25_4(X360,X361,X362,X363)) != a_select3(X360,esk25_4(X360,X361,X362,X363),esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( leq(esk27_4(X360,X361,X362,X363),X362)
| a_select3(X360,esk24_4(X360,X361,X362,X363),esk25_4(X360,X361,X362,X363)) != a_select3(X360,esk25_4(X360,X361,X362,X363),esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) )
& ( a_select3(X363,esk26_4(X360,X361,X362,X363),esk27_4(X360,X361,X362,X363)) != a_select3(X363,esk27_4(X360,X361,X362,X363),esk26_4(X360,X361,X362,X363))
| a_select3(X360,esk24_4(X360,X361,X362,X363),esk25_4(X360,X361,X362,X363)) != a_select3(X360,esk25_4(X360,X361,X362,X363),esk24_4(X360,X361,X362,X363))
| epred1_4(X363,X362,X361,X360) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_94])])])]) ).
fof(i_0_119,plain,
! [X265,X266,X267,X272,X273] :
( ( leq(n0,esk13_3(X265,X266,X267))
| leq(n0,esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk13_3(X265,X266,X267),X267)
| leq(n0,esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk14_3(X265,X266,X267))
| leq(n0,esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk14_3(X265,X266,X267),X267)
| leq(n0,esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( a_select3(X266,esk13_3(X265,X266,X267),esk14_3(X265,X266,X267)) != a_select3(X266,esk14_3(X265,X266,X267),esk13_3(X265,X266,X267))
| leq(n0,esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk13_3(X265,X266,X267))
| leq(esk11_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk13_3(X265,X266,X267),X267)
| leq(esk11_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk14_3(X265,X266,X267))
| leq(esk11_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk14_3(X265,X266,X267),X267)
| leq(esk11_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( a_select3(X266,esk13_3(X265,X266,X267),esk14_3(X265,X266,X267)) != a_select3(X266,esk14_3(X265,X266,X267),esk13_3(X265,X266,X267))
| leq(esk11_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk13_3(X265,X266,X267))
| leq(n0,esk12_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk13_3(X265,X266,X267),X267)
| leq(n0,esk12_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk14_3(X265,X266,X267))
| leq(n0,esk12_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk14_3(X265,X266,X267),X267)
| leq(n0,esk12_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( a_select3(X266,esk13_3(X265,X266,X267),esk14_3(X265,X266,X267)) != a_select3(X266,esk14_3(X265,X266,X267),esk13_3(X265,X266,X267))
| leq(n0,esk12_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk13_3(X265,X266,X267))
| leq(esk12_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk13_3(X265,X266,X267),X267)
| leq(esk12_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk14_3(X265,X266,X267))
| leq(esk12_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk14_3(X265,X266,X267),X267)
| leq(esk12_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( a_select3(X266,esk13_3(X265,X266,X267),esk14_3(X265,X266,X267)) != a_select3(X266,esk14_3(X265,X266,X267),esk13_3(X265,X266,X267))
| leq(esk12_3(X265,X266,X267),X267)
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk13_3(X265,X266,X267))
| a_select3(X265,esk11_3(X265,X266,X267),esk12_3(X265,X266,X267)) != a_select3(X265,esk12_3(X265,X266,X267),esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk13_3(X265,X266,X267),X267)
| a_select3(X265,esk11_3(X265,X266,X267),esk12_3(X265,X266,X267)) != a_select3(X265,esk12_3(X265,X266,X267),esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(n0,esk14_3(X265,X266,X267))
| a_select3(X265,esk11_3(X265,X266,X267),esk12_3(X265,X266,X267)) != a_select3(X265,esk12_3(X265,X266,X267),esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( leq(esk14_3(X265,X266,X267),X267)
| a_select3(X265,esk11_3(X265,X266,X267),esk12_3(X265,X266,X267)) != a_select3(X265,esk12_3(X265,X266,X267),esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) )
& ( a_select3(X266,esk13_3(X265,X266,X267),esk14_3(X265,X266,X267)) != a_select3(X266,esk14_3(X265,X266,X267),esk13_3(X265,X266,X267))
| a_select3(X265,esk11_3(X265,X266,X267),esk12_3(X265,X266,X267)) != a_select3(X265,esk12_3(X265,X266,X267),esk11_3(X265,X266,X267))
| ~ leq(n0,X272)
| ~ leq(X272,X267)
| ~ leq(n0,X273)
| ~ leq(X273,X267)
| a_select3(tptp_msub(X265,X266),X272,X273) = a_select3(tptp_msub(X265,X266),X273,X272) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_sub])])])])]) ).
fof(i_0_120,plain,
! [X256,X257,X258,X263,X264] :
( ( leq(n0,esk9_3(X256,X257,X258))
| leq(n0,esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk9_3(X256,X257,X258),X258)
| leq(n0,esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk10_3(X256,X257,X258))
| leq(n0,esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk10_3(X256,X257,X258),X258)
| leq(n0,esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( a_select3(X257,esk9_3(X256,X257,X258),esk10_3(X256,X257,X258)) != a_select3(X257,esk10_3(X256,X257,X258),esk9_3(X256,X257,X258))
| leq(n0,esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk9_3(X256,X257,X258))
| leq(esk7_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk9_3(X256,X257,X258),X258)
| leq(esk7_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk10_3(X256,X257,X258))
| leq(esk7_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk10_3(X256,X257,X258),X258)
| leq(esk7_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( a_select3(X257,esk9_3(X256,X257,X258),esk10_3(X256,X257,X258)) != a_select3(X257,esk10_3(X256,X257,X258),esk9_3(X256,X257,X258))
| leq(esk7_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk9_3(X256,X257,X258))
| leq(n0,esk8_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk9_3(X256,X257,X258),X258)
| leq(n0,esk8_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk10_3(X256,X257,X258))
| leq(n0,esk8_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk10_3(X256,X257,X258),X258)
| leq(n0,esk8_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( a_select3(X257,esk9_3(X256,X257,X258),esk10_3(X256,X257,X258)) != a_select3(X257,esk10_3(X256,X257,X258),esk9_3(X256,X257,X258))
| leq(n0,esk8_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk9_3(X256,X257,X258))
| leq(esk8_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk9_3(X256,X257,X258),X258)
| leq(esk8_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk10_3(X256,X257,X258))
| leq(esk8_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk10_3(X256,X257,X258),X258)
| leq(esk8_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( a_select3(X257,esk9_3(X256,X257,X258),esk10_3(X256,X257,X258)) != a_select3(X257,esk10_3(X256,X257,X258),esk9_3(X256,X257,X258))
| leq(esk8_3(X256,X257,X258),X258)
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk9_3(X256,X257,X258))
| a_select3(X256,esk7_3(X256,X257,X258),esk8_3(X256,X257,X258)) != a_select3(X256,esk8_3(X256,X257,X258),esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk9_3(X256,X257,X258),X258)
| a_select3(X256,esk7_3(X256,X257,X258),esk8_3(X256,X257,X258)) != a_select3(X256,esk8_3(X256,X257,X258),esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(n0,esk10_3(X256,X257,X258))
| a_select3(X256,esk7_3(X256,X257,X258),esk8_3(X256,X257,X258)) != a_select3(X256,esk8_3(X256,X257,X258),esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( leq(esk10_3(X256,X257,X258),X258)
| a_select3(X256,esk7_3(X256,X257,X258),esk8_3(X256,X257,X258)) != a_select3(X256,esk8_3(X256,X257,X258),esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) )
& ( a_select3(X257,esk9_3(X256,X257,X258),esk10_3(X256,X257,X258)) != a_select3(X257,esk10_3(X256,X257,X258),esk9_3(X256,X257,X258))
| a_select3(X256,esk7_3(X256,X257,X258),esk8_3(X256,X257,X258)) != a_select3(X256,esk8_3(X256,X257,X258),esk7_3(X256,X257,X258))
| ~ leq(n0,X263)
| ~ leq(X263,X258)
| ~ leq(n0,X264)
| ~ leq(X264,X258)
| a_select3(tptp_madd(X256,X257),X263,X264) = a_select3(tptp_madd(X256,X257),X264,X263) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_add])])])])]) ).
fof(i_0_121,plain,
! [X248,X249,X252,X253,X254,X255] :
( ( leq(n0,esk5_2(X248,X249))
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| ~ leq(n0,X254)
| ~ leq(X254,X249)
| a_select3(tptp_update3(X248,X254,X254,X255),X252,X253) = a_select3(tptp_update3(X248,X254,X254,X255),X253,X252) )
& ( leq(esk5_2(X248,X249),X249)
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| ~ leq(n0,X254)
| ~ leq(X254,X249)
| a_select3(tptp_update3(X248,X254,X254,X255),X252,X253) = a_select3(tptp_update3(X248,X254,X254,X255),X253,X252) )
& ( leq(n0,esk6_2(X248,X249))
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| ~ leq(n0,X254)
| ~ leq(X254,X249)
| a_select3(tptp_update3(X248,X254,X254,X255),X252,X253) = a_select3(tptp_update3(X248,X254,X254,X255),X253,X252) )
& ( leq(esk6_2(X248,X249),X249)
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| ~ leq(n0,X254)
| ~ leq(X254,X249)
| a_select3(tptp_update3(X248,X254,X254,X255),X252,X253) = a_select3(tptp_update3(X248,X254,X254,X255),X253,X252) )
& ( a_select3(X248,esk5_2(X248,X249),esk6_2(X248,X249)) != a_select3(X248,esk6_2(X248,X249),esk5_2(X248,X249))
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| ~ leq(n0,X254)
| ~ leq(X254,X249)
| a_select3(tptp_update3(X248,X254,X254,X255),X252,X253) = a_select3(tptp_update3(X248,X254,X254,X255),X253,X252) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_update_diagonal])])])])])]) ).
fof(i_0_122,plain,
! [X274,X275,X276,X279,X280] :
( ( leq(n0,esk15_3(X274,X275,X276))
| ~ leq(n0,X279)
| ~ leq(X279,X276)
| ~ leq(n0,X280)
| ~ leq(X280,X276)
| a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X279,X280) = a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X280,X279) )
& ( leq(esk15_3(X274,X275,X276),X276)
| ~ leq(n0,X279)
| ~ leq(X279,X276)
| ~ leq(n0,X280)
| ~ leq(X280,X276)
| a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X279,X280) = a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X280,X279) )
& ( leq(n0,esk16_3(X274,X275,X276))
| ~ leq(n0,X279)
| ~ leq(X279,X276)
| ~ leq(n0,X280)
| ~ leq(X280,X276)
| a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X279,X280) = a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X280,X279) )
& ( leq(esk16_3(X274,X275,X276),X276)
| ~ leq(n0,X279)
| ~ leq(X279,X276)
| ~ leq(n0,X280)
| ~ leq(X280,X276)
| a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X279,X280) = a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X280,X279) )
& ( a_select3(X275,esk15_3(X274,X275,X276),esk16_3(X274,X275,X276)) != a_select3(X275,esk16_3(X274,X275,X276),esk15_3(X274,X275,X276))
| ~ leq(n0,X279)
| ~ leq(X279,X276)
| ~ leq(n0,X280)
| ~ leq(X280,X276)
| a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X279,X280) = a_select3(tptp_mmul(X274,tptp_mmul(X275,trans(X274))),X280,X279) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_aba1])])])])]) ).
fof(i_0_123,plain,
! [X281,X282,X283,X286,X287,X288] :
( ( leq(n0,esk17_3(X281,X282,X283))
| ~ leq(n0,X287)
| ~ leq(X287,X286)
| ~ leq(n0,X288)
| ~ leq(X288,X286)
| a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X287,X288) = a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X288,X287) )
& ( leq(esk17_3(X281,X282,X283),X283)
| ~ leq(n0,X287)
| ~ leq(X287,X286)
| ~ leq(n0,X288)
| ~ leq(X288,X286)
| a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X287,X288) = a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X288,X287) )
& ( leq(n0,esk18_3(X281,X282,X283))
| ~ leq(n0,X287)
| ~ leq(X287,X286)
| ~ leq(n0,X288)
| ~ leq(X288,X286)
| a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X287,X288) = a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X288,X287) )
& ( leq(esk18_3(X281,X282,X283),X283)
| ~ leq(n0,X287)
| ~ leq(X287,X286)
| ~ leq(n0,X288)
| ~ leq(X288,X286)
| a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X287,X288) = a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X288,X287) )
& ( a_select3(X282,esk17_3(X281,X282,X283),esk18_3(X281,X282,X283)) != a_select3(X282,esk18_3(X281,X282,X283),esk17_3(X281,X282,X283))
| ~ leq(n0,X287)
| ~ leq(X287,X286)
| ~ leq(n0,X288)
| ~ leq(X288,X286)
| a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X287,X288) = a_select3(tptp_mmul(X281,tptp_mmul(X282,trans(X281))),X288,X287) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_aba2])])])])])]) ).
fof(i_0_124,plain,
! [X349,X350,X351,X352] :
( ( leq(n0,esk23_4(X349,X350,X351,X352))
| ~ leq(n0,X349)
| ~ leq(X349,X350)
| a_select2(tptp_update2(X351,X350,X352),X349) = X352 )
& ( leq(esk23_4(X349,X350,X351,X352),X350)
| ~ leq(n0,X349)
| ~ leq(X349,X350)
| a_select2(tptp_update2(X351,X350,X352),X349) = X352 )
& ( a_select2(X351,esk23_4(X349,X350,X351,X352)) != X352
| ~ leq(n0,X349)
| ~ leq(X349,X350)
| a_select2(tptp_update2(X351,X350,X352),X349) = X352 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_3])])])]) ).
fof(i_0_125,plain,
! [X326,X327,X328,X329,X330,X331,X332] :
( X326 = X328
| X327 != X329
| a_select3(X330,X328,X329) != X331
| a_select3(tptp_update3(X330,X326,X327,X332),X328,X329) = X331 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel3_update_2])]) ).
fof(i_0_126,plain,
! [X322,X323,X324,X325] : a_select3(tptp_update3(X322,X323,X324,X325),X323,X324) = X325,
inference(variable_rename,[status(thm)],[sel3_update_1]) ).
fof(i_0_127,plain,
! [X242,X243,X246,X247] :
( ( leq(n0,esk3_2(X242,X243))
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(inv(X242),X246,X247) = a_select3(inv(X242),X247,X246) )
& ( leq(esk3_2(X242,X243),X243)
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(inv(X242),X246,X247) = a_select3(inv(X242),X247,X246) )
& ( leq(n0,esk4_2(X242,X243))
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(inv(X242),X246,X247) = a_select3(inv(X242),X247,X246) )
& ( leq(esk4_2(X242,X243),X243)
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(inv(X242),X246,X247) = a_select3(inv(X242),X247,X246) )
& ( a_select3(X242,esk3_2(X242,X243),esk4_2(X242,X243)) != a_select3(X242,esk4_2(X242,X243),esk3_2(X242,X243))
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(inv(X242),X246,X247) = a_select3(inv(X242),X247,X246) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_inv])])])])]) ).
fof(i_0_128,plain,
! [X236,X237,X240,X241] :
( ( leq(n0,esk1_2(X236,X237))
| ~ leq(n0,X240)
| ~ leq(X240,X237)
| ~ leq(n0,X241)
| ~ leq(X241,X237)
| a_select3(trans(X236),X240,X241) = a_select3(trans(X236),X241,X240) )
& ( leq(esk1_2(X236,X237),X237)
| ~ leq(n0,X240)
| ~ leq(X240,X237)
| ~ leq(n0,X241)
| ~ leq(X241,X237)
| a_select3(trans(X236),X240,X241) = a_select3(trans(X236),X241,X240) )
& ( leq(n0,esk2_2(X236,X237))
| ~ leq(n0,X240)
| ~ leq(X240,X237)
| ~ leq(n0,X241)
| ~ leq(X241,X237)
| a_select3(trans(X236),X240,X241) = a_select3(trans(X236),X241,X240) )
& ( leq(esk2_2(X236,X237),X237)
| ~ leq(n0,X240)
| ~ leq(X240,X237)
| ~ leq(n0,X241)
| ~ leq(X241,X237)
| a_select3(trans(X236),X240,X241) = a_select3(trans(X236),X241,X240) )
& ( a_select3(X236,esk1_2(X236,X237),esk2_2(X236,X237)) != a_select3(X236,esk2_2(X236,X237),esk1_2(X236,X237))
| ~ leq(n0,X240)
| ~ leq(X240,X237)
| ~ leq(n0,X241)
| ~ leq(X241,X237)
| a_select3(trans(X236),X240,X241) = a_select3(trans(X236),X241,X240) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_trans])])])])]) ).
cnf(i_0_129,plain,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[i_0_95]) ).
cnf(i_0_130,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[i_0_96]) ).
cnf(i_0_131,plain,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[i_0_97]) ).
fof(i_0_132,plain,
! [X229,X230,X231,X232,X233,X234,X235] :
( ~ leq(X230,X229)
| ~ leq(X229,X231)
| ~ leq(X233,X232)
| ~ leq(X232,X234)
| a_select3(tptp_const_array2(dim(X230,X231),dim(X233,X234),X235),X229,X232) = X235 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[const_array2_select])]) ).
cnf(i_0_133,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(i_0_134,plain,
plus(n4,X1) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[i_0_98]) ).
cnf(i_0_135,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[i_0_99]) ).
cnf(i_0_136,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
fof(i_0_137,negated_conjecture,
( leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& ( ~ leq(n0,n0)
| ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1)) ) ),
inference(fof_nnf,[status(thm)],[i_0_100]) ).
fof(i_0_138,plain,
! [X344,X345,X346,X347,X348] :
( X344 = X345
| a_select2(X346,X345) != X347
| a_select2(tptp_update2(X346,X344,X348),X345) = X347 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_2])]) ).
fof(i_0_139,plain,
! [X225,X226,X227,X228] :
( ~ leq(X226,X225)
| ~ leq(X225,X227)
| a_select2(tptp_const_array1(dim(X226,X227),X228),X225) = X228 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[const_array1_select])]) ).
fof(i_0_140,plain,
! [X341,X342,X343] : a_select2(tptp_update2(X341,X342,X343),X342) = X343,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
cnf(i_0_141,plain,
( leq(X1,X2)
| ~ leq(succ(X1),succ(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_101]) ).
cnf(i_0_142,plain,
plus(n3,X1) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[i_0_102]) ).
cnf(i_0_143,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[i_0_103]) ).
cnf(i_0_144,plain,
( leq(succ(X1),succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]) ).
fof(i_0_145,plain,
! [X320,X321] :
( ~ leq(minus(X320,X321),X320)
| leq(n0,X321) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_minus])]) ).
cnf(i_0_146,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(i_0_147,plain,
( leq(X2,X1)
| ~ gt(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]) ).
cnf(i_0_148,plain,
( gt(X2,X1)
| ~ leq(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]) ).
cnf(i_0_149,plain,
( gt(X2,X1)
| ~ leq(X1,pred(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
cnf(i_0_150,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[i_0_107]) ).
fof(i_0_151,plain,
! [X221,X222] :
( ~ leq(n0,X221)
| leq(uniform_int_rnd(X222,X221),X221) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[uniform_int_rand_ranges_hi])]) ).
cnf(i_0_152,plain,
( gt(succ(X2),X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]) ).
cnf(i_0_153,plain,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_108]) ).
cnf(i_0_154,plain,
( leq(X2,pred(X1))
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
fof(i_0_155,plain,
! [X203,X204,X205] :
( ~ leq(X203,X204)
| ~ leq(X204,X205)
| leq(X203,X205) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(i_0_156,plain,
! [X198,X199,X200] :
( ~ gt(X198,X199)
| ~ gt(X199,X200)
| gt(X198,X200) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])]) ).
fof(i_0_157,plain,
! [X223,X224] :
( ~ leq(n0,X223)
| leq(n0,uniform_int_rnd(X224,X223)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[uniform_int_rand_ranges_lo])]) ).
fof(i_0_158,plain,
! [X301] : sum(n0,tptp_minus_1,X301) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
fof(i_0_159,plain,
! [X302] : tptp_float_0_0 = sum(n0,tptp_minus_1,X302),
inference(variable_rename,[status(thm)],[sum_plus_base_float]) ).
fof(i_0_160,plain,
! [X355] :
( ~ leq(n0,X355)
| ~ leq(X355,n5)
| X355 = n0
| X355 = n1
| X355 = n2
| X355 = n3
| X355 = n4
| X355 = n5 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_5])]) ).
fof(i_0_161,plain,
! [X354] :
( ~ leq(n0,X354)
| ~ leq(X354,n4)
| X354 = n0
| X354 = n1
| X354 = n2
| X354 = n3
| X354 = n4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_4])]) ).
cnf(i_0_162,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_163,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[i_0_110]) ).
fof(i_0_164,plain,
! [X359] :
( ~ leq(n0,X359)
| ~ leq(X359,n3)
| X359 = n0
| X359 = n1
| X359 = n2
| X359 = n3 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_3])]) ).
fof(i_0_165,plain,
! [X358] :
( ~ leq(n0,X358)
| ~ leq(X358,n2)
| X358 = n0
| X358 = n1
| X358 = n2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_2])]) ).
fof(i_0_166,plain,
! [X357] :
( ~ leq(n0,X357)
| ~ leq(X357,n1)
| X357 = n0
| X357 = n1 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])]) ).
fof(i_0_167,plain,
! [X356] :
( ~ leq(n0,X356)
| ~ leq(X356,n0)
| X356 = n0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])]) ).
fof(i_0_168,plain,
! [X212,X213] :
( ~ leq(X212,X213)
| X212 = X213
| gt(X213,X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).
cnf(i_0_169,plain,
gt(succ(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_111]) ).
fof(i_0_170,plain,
! [X208,X209] :
( ( ~ geq(X208,X209)
| leq(X209,X208) )
& ( ~ leq(X209,X208)
| geq(X208,X209) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_geq])]) ).
fof(i_0_171,plain,
! [X206,X207] :
( ( ~ lt(X206,X207)
| gt(X207,X206) )
& ( ~ gt(X207,X206)
| lt(X206,X207) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lt_gt])]) ).
fof(i_0_172,plain,
! [X210,X211] :
( ~ gt(X211,X210)
| leq(X210,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(i_0_173,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_174,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_113]) ).
cnf(i_0_175,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
fof(i_0_176,plain,
! [X196,X197] :
( gt(X196,X197)
| gt(X197,X196)
| X196 = X197 ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(i_0_177,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[i_0_114]) ).
fof(i_0_178,plain,
! [X201] : ~ gt(X201,X201),
inference(variable_rename,[status(thm)],[i_0_115]) ).
fof(i_0_179,plain,
! [X202] : leq(X202,X202),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(i_0_180,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(i_0_181,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(i_0_182,plain,
( a_select3(tptp_madd(X2,tptp_mmul(X3,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X5,trans(X4))),tptp_mmul(X6,tptp_mmul(X1,trans(X6)))),trans(X3)))),X9,X10) = a_select3(tptp_madd(X2,tptp_mmul(X3,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X5,trans(X4))),tptp_mmul(X6,tptp_mmul(X1,trans(X6)))),trans(X3)))),X10,X9)
| a_select3(X1,esk19_7(X2,X3,X4,X5,X6,X1,X7),esk20_7(X2,X3,X4,X5,X6,X1,X7)) != a_select3(X1,esk20_7(X2,X3,X4,X5,X6,X1,X7),esk19_7(X2,X3,X4,X5,X6,X1,X7))
| ~ epred1_4(X2,X7,X8,X5)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_183,plain,
( leq(esk20_7(X1,X2,X3,X4,X5,X6,X7),X7)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X9,X10) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X10,X9)
| ~ epred1_4(X1,X7,X8,X4)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_184,plain,
( leq(esk19_7(X1,X2,X3,X4,X5,X6,X7),X7)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X9,X10) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X10,X9)
| ~ epred1_4(X1,X7,X8,X4)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_185,plain,
( leq(n0,esk20_7(X1,X2,X3,X4,X5,X6,X7))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X9,X10) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X10,X9)
| ~ epred1_4(X1,X7,X8,X4)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_186,plain,
( leq(n0,esk19_7(X1,X2,X3,X4,X5,X6,X7))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X9,X10) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X10,X9)
| ~ epred1_4(X1,X7,X8,X4)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_187,plain,
( a_select3(tptp_update3(X1,X4,X5,X6),X2,X3) = X6
| a_select3(X1,esk21_6(X2,X3,X4,X5,X1,X6),esk22_6(X2,X3,X4,X5,X1,X6)) != X6
| ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_188,plain,
( leq(esk22_6(X1,X2,X3,X4,X5,X6),X4)
| a_select3(tptp_update3(X5,X3,X4,X6),X1,X2) = X6
| ~ leq(n0,X1)
| ~ leq(X1,X3)
| ~ leq(n0,X2)
| ~ leq(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_189,plain,
( leq(esk21_6(X1,X2,X3,X4,X5,X6),X3)
| a_select3(tptp_update3(X5,X3,X4,X6),X1,X2) = X6
| ~ leq(n0,X1)
| ~ leq(X1,X3)
| ~ leq(n0,X2)
| ~ leq(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_190,plain,
( leq(n0,esk22_6(X1,X2,X3,X4,X5,X6))
| a_select3(tptp_update3(X5,X3,X4,X6),X1,X2) = X6
| ~ leq(n0,X1)
| ~ leq(X1,X3)
| ~ leq(n0,X2)
| ~ leq(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_191,plain,
( leq(n0,esk21_6(X1,X2,X3,X4,X5,X6))
| a_select3(tptp_update3(X5,X3,X4,X6),X1,X2) = X6
| ~ leq(n0,X1)
| ~ leq(X1,X3)
| ~ leq(n0,X2)
| ~ leq(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_192,plain,
( epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk26_4(X2,X3,X4,X1),esk27_4(X2,X3,X4,X1)) != a_select3(X1,esk27_4(X2,X3,X4,X1),esk26_4(X2,X3,X4,X1))
| a_select3(X2,esk24_4(X2,X3,X4,X1),esk25_4(X2,X3,X4,X1)) != a_select3(X2,esk25_4(X2,X3,X4,X1),esk24_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_193,plain,
( leq(esk25_4(X2,X3,X4,X1),X3)
| epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk26_4(X2,X3,X4,X1),esk27_4(X2,X3,X4,X1)) != a_select3(X1,esk27_4(X2,X3,X4,X1),esk26_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_194,plain,
( leq(esk24_4(X2,X3,X4,X1),X3)
| epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk26_4(X2,X3,X4,X1),esk27_4(X2,X3,X4,X1)) != a_select3(X1,esk27_4(X2,X3,X4,X1),esk26_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_195,plain,
( leq(esk27_4(X1,X2,X3,X4),X3)
| epred1_4(X4,X3,X2,X1)
| a_select3(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) != a_select3(X1,esk25_4(X1,X2,X3,X4),esk24_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_196,plain,
( leq(esk26_4(X1,X2,X3,X4),X3)
| epred1_4(X4,X3,X2,X1)
| a_select3(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) != a_select3(X1,esk25_4(X1,X2,X3,X4),esk24_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_197,plain,
( leq(n0,esk25_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk26_4(X2,X3,X4,X1),esk27_4(X2,X3,X4,X1)) != a_select3(X1,esk27_4(X2,X3,X4,X1),esk26_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_198,plain,
( leq(n0,esk24_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk26_4(X2,X3,X4,X1),esk27_4(X2,X3,X4,X1)) != a_select3(X1,esk27_4(X2,X3,X4,X1),esk26_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_199,plain,
( leq(n0,esk27_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| a_select3(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) != a_select3(X1,esk25_4(X1,X2,X3,X4),esk24_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_200,plain,
( leq(n0,esk26_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| a_select3(X1,esk24_4(X1,X2,X3,X4),esk25_4(X1,X2,X3,X4)) != a_select3(X1,esk25_4(X1,X2,X3,X4),esk24_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_201,plain,
( a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| a_select3(X2,esk11_3(X2,X1,X3),esk12_3(X2,X1,X3)) != a_select3(X2,esk12_3(X2,X1,X3),esk11_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_202,plain,
( a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| a_select3(X2,esk7_3(X2,X1,X3),esk8_3(X2,X1,X3)) != a_select3(X2,esk8_3(X2,X1,X3),esk7_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_203,plain,
( a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| a_select3(X1,esk5_2(X1,X2),esk6_2(X1,X2)) != a_select3(X1,esk6_2(X1,X2),esk5_2(X1,X2))
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_204,plain,
( leq(esk6_2(X1,X2),X2)
| a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_205,plain,
( leq(esk5_2(X1,X2),X2)
| a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_206,plain,
( leq(n0,esk6_2(X1,X2))
| a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_207,plain,
( leq(n0,esk5_2(X1,X2))
| a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_208,plain,
( leq(esk27_4(X1,X2,X3,X4),X3)
| leq(esk25_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_209,plain,
( leq(esk26_4(X1,X2,X3,X4),X3)
| leq(esk25_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_210,plain,
( leq(esk27_4(X1,X2,X3,X4),X3)
| leq(esk24_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_211,plain,
( leq(esk26_4(X1,X2,X3,X4),X3)
| leq(esk24_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_212,plain,
( leq(esk27_4(X1,X2,X3,X4),X3)
| leq(n0,esk25_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_213,plain,
( leq(esk27_4(X1,X2,X3,X4),X3)
| leq(n0,esk24_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_214,plain,
( leq(esk26_4(X1,X2,X3,X4),X3)
| leq(n0,esk25_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_215,plain,
( leq(esk26_4(X1,X2,X3,X4),X3)
| leq(n0,esk24_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_216,plain,
( leq(n0,esk27_4(X1,X2,X3,X4))
| leq(esk25_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_217,plain,
( leq(n0,esk26_4(X1,X2,X3,X4))
| leq(esk25_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_218,plain,
( leq(n0,esk27_4(X1,X2,X3,X4))
| leq(esk24_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_219,plain,
( leq(n0,esk26_4(X1,X2,X3,X4))
| leq(esk24_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_220,plain,
( leq(n0,esk27_4(X1,X2,X3,X4))
| leq(n0,esk25_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_221,plain,
( leq(n0,esk26_4(X1,X2,X3,X4))
| leq(n0,esk25_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_222,plain,
( leq(n0,esk27_4(X1,X2,X3,X4))
| leq(n0,esk24_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_223,plain,
( leq(n0,esk26_4(X1,X2,X3,X4))
| leq(n0,esk24_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_224,plain,
( a_select3(tptp_mmul(X2,tptp_mmul(X1,trans(X2))),X4,X5) = a_select3(tptp_mmul(X2,tptp_mmul(X1,trans(X2))),X5,X4)
| a_select3(X1,esk15_3(X2,X1,X3),esk16_3(X2,X1,X3)) != a_select3(X1,esk16_3(X2,X1,X3),esk15_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_225,plain,
( a_select3(tptp_mmul(X2,tptp_mmul(X1,trans(X2))),X4,X6) = a_select3(tptp_mmul(X2,tptp_mmul(X1,trans(X2))),X6,X4)
| a_select3(X1,esk17_3(X2,X1,X3),esk18_3(X2,X1,X3)) != a_select3(X1,esk18_3(X2,X1,X3),esk17_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_226,plain,
( leq(esk14_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| a_select3(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) != a_select3(X1,esk12_3(X1,X2,X3),esk11_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_227,plain,
( leq(esk13_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| a_select3(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) != a_select3(X1,esk12_3(X1,X2,X3),esk11_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_228,plain,
( leq(esk12_3(X2,X1,X3),X3)
| a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_229,plain,
( leq(esk11_3(X2,X1,X3),X3)
| a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_230,plain,
( leq(esk10_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| a_select3(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) != a_select3(X1,esk8_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_231,plain,
( leq(esk9_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| a_select3(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) != a_select3(X1,esk8_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_232,plain,
( leq(esk8_3(X2,X1,X3),X3)
| a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_233,plain,
( leq(esk7_3(X2,X1,X3),X3)
| a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_234,plain,
( leq(n0,esk14_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| a_select3(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) != a_select3(X1,esk12_3(X1,X2,X3),esk11_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_235,plain,
( leq(n0,esk13_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| a_select3(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) != a_select3(X1,esk12_3(X1,X2,X3),esk11_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_236,plain,
( leq(n0,esk12_3(X2,X1,X3))
| a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_237,plain,
( leq(n0,esk11_3(X2,X1,X3))
| a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_238,plain,
( leq(n0,esk10_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| a_select3(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) != a_select3(X1,esk8_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_239,plain,
( leq(n0,esk9_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| a_select3(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) != a_select3(X1,esk8_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_240,plain,
( leq(n0,esk8_3(X2,X1,X3))
| a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_241,plain,
( leq(n0,esk7_3(X2,X1,X3))
| a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_242,plain,
( a_select2(tptp_update2(X1,X3,X4),X2) = X4
| a_select2(X1,esk23_4(X2,X3,X1,X4)) != X4
| ~ leq(n0,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_243,plain,
( leq(esk23_4(X1,X2,X3,X4),X2)
| a_select2(tptp_update2(X3,X2,X4),X1) = X4
| ~ leq(n0,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_244,plain,
( leq(n0,esk23_4(X1,X2,X3,X4))
| a_select2(tptp_update2(X3,X2,X4),X1) = X4
| ~ leq(n0,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_245,plain,
( X1 = X2
| a_select3(tptp_update3(X5,X1,X3,X7),X2,X4) = X6
| X3 != X4
| a_select3(X5,X2,X4) != X6 ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_246,plain,
a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_247,plain,
( a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| a_select3(X1,esk3_2(X1,X2),esk4_2(X1,X2)) != a_select3(X1,esk4_2(X1,X2),esk3_2(X1,X2))
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_248,plain,
( a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| a_select3(X1,esk1_2(X1,X2),esk2_2(X1,X2)) != a_select3(X1,esk2_2(X1,X2),esk1_2(X1,X2))
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_249,plain,
( leq(esk16_3(X1,X2,X3),X3)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X5) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_250,plain,
( leq(esk15_3(X1,X2,X3),X3)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X5) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_251,plain,
( leq(esk18_3(X1,X2,X3),X3)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X6) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X6,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_252,plain,
( leq(esk17_3(X1,X2,X3),X3)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X6) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X6,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_253,plain,
( leq(n0,esk16_3(X1,X2,X3))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X5) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_254,plain,
( leq(n0,esk15_3(X1,X2,X3))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X5) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_255,plain,
( leq(n0,esk18_3(X1,X2,X3))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X6) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X6,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_256,plain,
( leq(n0,esk17_3(X1,X2,X3))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X6) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X6,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_257,plain,
( leq(esk14_3(X1,X2,X3),X3)
| leq(esk12_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_258,plain,
( leq(esk13_3(X1,X2,X3),X3)
| leq(esk12_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_259,plain,
( leq(esk14_3(X1,X2,X3),X3)
| leq(esk11_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_260,plain,
( leq(esk13_3(X1,X2,X3),X3)
| leq(esk11_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_261,plain,
( leq(esk10_3(X1,X2,X3),X3)
| leq(esk8_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_262,plain,
( leq(esk9_3(X1,X2,X3),X3)
| leq(esk8_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_263,plain,
( leq(esk10_3(X1,X2,X3),X3)
| leq(esk7_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_264,plain,
( leq(esk9_3(X1,X2,X3),X3)
| leq(esk7_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_265,plain,
( leq(esk14_3(X1,X2,X3),X3)
| leq(n0,esk12_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_266,plain,
( leq(esk14_3(X1,X2,X3),X3)
| leq(n0,esk11_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_267,plain,
( leq(esk13_3(X1,X2,X3),X3)
| leq(n0,esk12_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_268,plain,
( leq(esk13_3(X1,X2,X3),X3)
| leq(n0,esk11_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_269,plain,
( leq(n0,esk14_3(X1,X2,X3))
| leq(esk12_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_270,plain,
( leq(n0,esk13_3(X1,X2,X3))
| leq(esk12_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_271,plain,
( leq(n0,esk14_3(X1,X2,X3))
| leq(esk11_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_272,plain,
( leq(n0,esk13_3(X1,X2,X3))
| leq(esk11_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_273,plain,
( leq(esk10_3(X1,X2,X3),X3)
| leq(n0,esk8_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_274,plain,
( leq(esk10_3(X1,X2,X3),X3)
| leq(n0,esk7_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_275,plain,
( leq(esk9_3(X1,X2,X3),X3)
| leq(n0,esk8_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_276,plain,
( leq(esk9_3(X1,X2,X3),X3)
| leq(n0,esk7_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_277,plain,
( leq(n0,esk10_3(X1,X2,X3))
| leq(esk8_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_278,plain,
( leq(n0,esk9_3(X1,X2,X3))
| leq(esk8_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_279,plain,
( leq(n0,esk10_3(X1,X2,X3))
| leq(esk7_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_280,plain,
( leq(n0,esk9_3(X1,X2,X3))
| leq(esk7_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_281,plain,
( leq(n0,esk14_3(X1,X2,X3))
| leq(n0,esk12_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_282,plain,
( leq(n0,esk13_3(X1,X2,X3))
| leq(n0,esk12_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_283,plain,
( leq(n0,esk14_3(X1,X2,X3))
| leq(n0,esk11_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_284,plain,
( leq(n0,esk13_3(X1,X2,X3))
| leq(n0,esk11_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_285,plain,
( leq(n0,esk10_3(X1,X2,X3))
| leq(n0,esk8_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_286,plain,
( leq(n0,esk9_3(X1,X2,X3))
| leq(n0,esk8_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_287,plain,
( leq(n0,esk10_3(X1,X2,X3))
| leq(n0,esk7_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_288,plain,
( leq(n0,esk9_3(X1,X2,X3))
| leq(n0,esk7_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_289,plain,
plus(n5,X1) = plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_129,c_0_130]),c_0_130]),c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_290,plain,
plus(X1,n5) = plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_131,c_0_130]),c_0_130]),c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_291,plain,
( a_select3(tptp_const_array2(dim(X1,X3),dim(X4,X6),X7),X2,X5) = X7
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ leq(X4,X5)
| ~ leq(X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_292,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_133,c_0_130]),c_0_130]),c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_293,plain,
( leq(esk4_2(X1,X2),X2)
| a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_294,plain,
( leq(esk3_2(X1,X2),X2)
| a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_295,plain,
( leq(esk2_2(X1,X2),X2)
| a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_296,plain,
( leq(esk1_2(X1,X2),X2)
| a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_297,plain,
( leq(n0,esk4_2(X1,X2))
| a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_298,plain,
( leq(n0,esk3_2(X1,X2))
| a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_299,plain,
( leq(n0,esk2_2(X1,X2))
| a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_300,plain,
( leq(n0,esk1_2(X1,X2))
| a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_301,plain,
plus(n4,X1) = plus(plus(plus(plus(X1,n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_134,c_0_130]),c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_302,plain,
plus(X1,n4) = plus(plus(plus(plus(X1,n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_135,c_0_130]),c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_303,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_136,c_0_130]),c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_304,negated_conjecture,
( ~ leq(n0,n0)
| ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_305,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_306,plain,
( a_select2(tptp_const_array1(dim(X1,X3),X4),X2) = X4
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_307,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_308,plain,
( leq(X1,X2)
| ~ leq(plus(X1,n1),plus(X2,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_141,c_0_130]),c_0_130]),
[final] ).
cnf(i_0_309,plain,
plus(n3,X1) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_142,c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_310,plain,
plus(X1,n3) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_143,c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_311,plain,
( leq(plus(X1,n1),plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_144,c_0_130]),c_0_130]),
[final] ).
cnf(i_0_312,plain,
( leq(n0,X2)
| ~ leq(minus(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_313,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_146,c_0_130]),c_0_130]),c_0_130]),
[final] ).
cnf(i_0_314,plain,
( leq(X2,X1)
| ~ gt(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[i_0_147,c_0_130]),
[final] ).
cnf(i_0_315,plain,
( gt(X2,X1)
| ~ leq(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[i_0_148,c_0_130]),
[final] ).
cnf(i_0_316,plain,
( gt(X2,X1)
| ~ leq(X1,minus(X2,n1)) ),
inference(rw,[status(thm)],[i_0_149,c_0_150]),
[final] ).
cnf(i_0_317,plain,
( leq(uniform_int_rnd(X2,X1),X1)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_318,plain,
( gt(plus(X2,n1),X1)
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[i_0_152,c_0_130]),
[final] ).
cnf(i_0_319,plain,
( leq(X1,plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[i_0_153,c_0_130]),
[final] ).
cnf(i_0_320,plain,
( leq(X2,minus(X1,n1))
| ~ gt(X1,X2) ),
inference(rw,[status(thm)],[i_0_154,c_0_150]),
[final] ).
cnf(i_0_321,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_322,plain,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_323,plain,
( leq(n0,uniform_int_rnd(X2,X1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_324,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_325,plain,
tptp_float_0_0 = sum(n0,tptp_minus_1,X1),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_326,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5
| ~ leq(n0,X1)
| ~ leq(X1,n5) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_327,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| ~ leq(n0,X1)
| ~ leq(X1,n4) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_328,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_162,c_0_130]),c_0_130]),
[final] ).
cnf(i_0_329,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_163,c_0_130]),c_0_130]),
[final] ).
cnf(i_0_330,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| ~ leq(n0,X1)
| ~ leq(X1,n3) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_331,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_332,plain,
( X1 = n0
| X1 = n1
| ~ leq(n0,X1)
| ~ leq(X1,n1) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_333,plain,
( X1 = n0
| ~ leq(n0,X1)
| ~ leq(X1,n0) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_334,plain,
( X1 = X2
| gt(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_335,plain,
gt(plus(X1,n1),X1),
inference(rw,[status(thm)],[i_0_169,c_0_130]),
[final] ).
cnf(i_0_336,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_337,plain,
( lt(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_338,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_339,plain,
( leq(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_340,plain,
( gt(X2,X1)
| ~ lt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_341,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_173,c_0_130]),c_0_150]),
[final] ).
cnf(i_0_342,plain,
plus(minus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_174,c_0_130]),c_0_150]),
[final] ).
cnf(i_0_343,negated_conjecture,
leq(pv53,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_344,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_345,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_175,c_0_130]),c_0_130]),
[final] ).
cnf(i_0_346,plain,
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_347,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[i_0_177,c_0_130]),
[final] ).
cnf(i_0_348,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_349,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_350,negated_conjecture,
leq(n0,pv53),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_351,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_352,plain,
gt(n135300,n5),
inference(split_conjunct,[status(thm)],[gt_135300_5]),
[final] ).
cnf(i_0_353,plain,
gt(n135300,n4),
inference(split_conjunct,[status(thm)],[gt_135300_4]),
[final] ).
cnf(i_0_354,plain,
gt(n135300,n3),
inference(split_conjunct,[status(thm)],[gt_135300_3]),
[final] ).
cnf(i_0_355,plain,
gt(n135300,n2),
inference(split_conjunct,[status(thm)],[gt_135300_2]),
[final] ).
cnf(i_0_356,plain,
gt(n135300,n1),
inference(split_conjunct,[status(thm)],[gt_135300_1]),
[final] ).
cnf(i_0_357,plain,
gt(n135300,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_135300_tptp_minus_1]),
[final] ).
cnf(i_0_358,plain,
gt(n135300,n0),
inference(split_conjunct,[status(thm)],[gt_135300_0]),
[final] ).
cnf(i_0_359,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]),
[final] ).
cnf(i_0_360,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[gt_5_3]),
[final] ).
cnf(i_0_361,plain,
gt(n5,n2),
inference(split_conjunct,[status(thm)],[gt_5_2]),
[final] ).
cnf(i_0_362,plain,
gt(n5,n1),
inference(split_conjunct,[status(thm)],[gt_5_1]),
[final] ).
cnf(i_0_363,plain,
gt(n5,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_5_tptp_minus_1]),
[final] ).
cnf(i_0_364,plain,
gt(n5,n0),
inference(split_conjunct,[status(thm)],[gt_5_0]),
[final] ).
cnf(i_0_365,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]),
[final] ).
cnf(i_0_366,plain,
gt(n4,n2),
inference(split_conjunct,[status(thm)],[gt_4_2]),
[final] ).
cnf(i_0_367,plain,
gt(n4,n1),
inference(split_conjunct,[status(thm)],[gt_4_1]),
[final] ).
cnf(i_0_368,plain,
gt(n4,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_4_tptp_minus_1]),
[final] ).
cnf(i_0_369,plain,
gt(n4,n0),
inference(split_conjunct,[status(thm)],[gt_4_0]),
[final] ).
cnf(i_0_370,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[gt_3_2]),
[final] ).
cnf(i_0_371,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]),
[final] ).
cnf(i_0_372,plain,
gt(n3,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_3_tptp_minus_1]),
[final] ).
cnf(i_0_373,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]),
[final] ).
cnf(i_0_374,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[gt_2_1]),
[final] ).
cnf(i_0_375,plain,
gt(n2,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_2_tptp_minus_1]),
[final] ).
cnf(i_0_376,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]),
[final] ).
cnf(i_0_377,plain,
gt(n1,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_1_tptp_minus_1]),
[final] ).
cnf(i_0_378,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[gt_1_0]),
[final] ).
cnf(i_0_379,plain,
gt(n0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_0_tptp_minus_1]),
[final] ).
cnf(i_0_380,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[i_0_180,c_0_130]),
[final] ).
cnf(i_0_381,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[i_0_181,c_0_130]),
[final] ).
cnf(i_0_382,plain,
def != use,
inference(split_conjunct,[status(thm)],[defuse]),
[final] ).
cnf(i_0_383,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]),
[final] ).
cnf(i_0_384,axiom,
X1 = X1 ).
cnf(i_0_385,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_386,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_387,axiom,
( X1 != X2
| a_select3(X1,X3,X4) = a_select3(X2,X3,X4) ) ).
cnf(i_0_388,axiom,
( X1 != X2
| a_select3(X3,X1,X4) = a_select3(X3,X2,X4) ) ).
cnf(i_0_389,axiom,
( X1 != X2
| a_select3(X3,X4,X1) = a_select3(X3,X4,X2) ) ).
cnf(i_0_390,axiom,
( X1 != X2
| a_select2(X1,X3) = a_select2(X2,X3) ) ).
cnf(i_0_391,axiom,
( X1 != X2
| a_select2(X3,X1) = a_select2(X3,X2) ) ).
cnf(i_0_392,axiom,
( X1 != X2
| plus(X1,X3) = plus(X2,X3) ) ).
cnf(i_0_393,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| minus(X1,X3) = minus(X2,X3) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| minus(X3,X1) = minus(X3,X2) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| sum(X1,X3,X4) = sum(X2,X3,X4) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| sum(X3,X1,X4) = sum(X3,X2,X4) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| sum(X3,X4,X1) = sum(X3,X4,X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_384_001,axiom,
X1 = X1 ).
cnf(i_0_385_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_386_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_387_004,axiom,
( X1 != X2
| a_select3(X1,X3,X4) = a_select3(X2,X3,X4) ) ).
cnf(i_0_388_005,axiom,
( X1 != X2
| a_select3(X3,X1,X4) = a_select3(X3,X2,X4) ) ).
cnf(i_0_389_006,axiom,
( X1 != X2
| a_select3(X3,X4,X1) = a_select3(X3,X4,X2) ) ).
cnf(i_0_390_007,axiom,
( X1 != X2
| a_select2(X1,X3) = a_select2(X2,X3) ) ).
cnf(i_0_391_008,axiom,
( X1 != X2
| a_select2(X3,X1) = a_select2(X3,X2) ) ).
cnf(i_0_392_009,axiom,
( X1 != X2
| plus(X1,X3) = plus(X2,X3) ) ).
cnf(i_0_393_010,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(i_0_394_011,axiom,
( X1 != X2
| minus(X1,X3) = minus(X2,X3) ) ).
cnf(i_0_395_012,axiom,
( X1 != X2
| minus(X3,X1) = minus(X3,X2) ) ).
cnf(i_0_396_013,axiom,
( X1 != X2
| sum(X1,X3,X4) = sum(X2,X3,X4) ) ).
cnf(i_0_397_014,axiom,
( X1 != X2
| sum(X3,X1,X4) = sum(X3,X2,X4) ) ).
cnf(i_0_398_015,axiom,
( X1 != X2
| sum(X3,X4,X1) = sum(X3,X4,X2) ) ).
cnf(i_0_399_016,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_400_017,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_401_018,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_402_019,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_403_020,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_404_021,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_405_022,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_406_023,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_407_024,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_408_025,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_409_026,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_410_027,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_411,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X4),X2) = a_select2(X3,X2) ),
inference(equality_inference,[],[305]) ).
cnf(i_0_412,plain,
$false,
inference(scs_inference,[],[i_0_349,i_0_351,i_0_350,i_0_344,i_0_343,i_0_304]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV065+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n031.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:57:38 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.36/1.61 % Version : CSE_E---1.7
% 0.36/1.61 % Problem : theBenchmark.p
% 0.36/1.61 % SZS status Theorem for theBenchmark.p
% 0.36/1.61 % SZS output start CNFRefutation
% See solution above
% 0.36/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------